Hi! Can someone solve and tell me all the steps so I could understand how to do this?

To construct a confidence interval for the proportion of defectives, we should use the plus four method.

Since the sample size is 20, which is not very large, the large-sample interval is not appropriate. Instep, we ought to utilize a strategy that's suitable for little test sizes. 

The plus four method is one such method that is commonly used when the sample size is small. Therefore, to construct a confidence interval for the proportion of defectives, we should use the plus four method.

The plus four strategies may be a strategy for building a certainty interim for an extent when the test estimate is little.

To utilize this strategy, we to begin with include four fanciful perceptions to our test, two of which are flawed and two of which are not imperfect.

This increments the test estimate to 24, which permits us to utilize the typical guess to the binomial dispersion to build the certainty interim.

The equation for the certainty interim utilizing the also four strategies is:

p ± zα/2 √((p + 2) (1 - p + 2) / n + 4)

where:

p is the test extent (number of defectives/test estimate)

zα/2 is the basic esteem from the standard typical dissemination at the level of importance α/2

n is the test estimate (counting the included four nonexistent perceptions)

Therefore, to construct a confidence interval for the proportion of defectives, we should use the plus four method.

learn more about the plus four method

brainly.com/question/31504643

#SPJ4

Answer:

b=-3

Step-by-step explanation:

11=2b+17

subtract 11 from both sides

then you get 2b+6=0

so b=-3

Answer: -3

Step-by-step explanation:

Hey! Here's a simple solution -

Step 1 - Subtract 17 from both sides -

11 - 17 = 2B + 17-17

-6 = 2B

Step 2 - Divide both sides by 2

-3 = B

Hope this helped you! Peace out!

The domain of a function is the set of all possible inputs for the function.

What are the domain and range?

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

Let y = f(x) be a function with an independent variable x and a dependent variable y.

If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that chosen x-value is said to belong to the domain of the function.

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x).

Hence, the domain of a function is the set of all possible inputs for the function.

To learn more about the domain and range visit,

brainly.com/question/26098895

#SPJ4

(c) a feature of the population. The correct answer is feature of population.

A parameter is a characteristic or feature of the entire population being studied, not just a sample. It is a numerical value that summarizes a population's distribution. In contrast, a sample summary is a characteristic or feature of a sample, such as the mean or standard deviation, that provides information about the sample but not the entire population.

Learn more about feature of population here:

https://brainly.com/question/15318855

#SPJ11

Answer:

The correct answer is (d) 36 units.

Step-by-step explanation:

Just took the test on edge :)

The measure of UW is 36 units

From the question, a line has points U, V, W. If Point V lies between points U and W on Line segment U W, then;

UV + VW = UW

Given the following

VW = 4 x + 10.

UW = 9x – 9

UV = 2x - 4

Substitute

2x - 4 + 4x + 10 = 9x - 9

6x + 6 = 9x - 9

-3x = -15

x = 5

UW = 9x - 9

UW = 45 - 9

UW = 36 units

Hence the measure of UW is 36 units

Learn more on angles here: https://brainly.com/question/25770607

Answer:

area = m²/2π

Step-by-step explanation:

∵ circumference of circle = 2πr = m

∴ r = m/2π

∵ area of circle = πr²

∴ area of circle = (m/2π)² × π = m²/2π² × π = m²/2π

hope this helps

Answer:

Yes, they should increase the budget, because both 8 (Manuel) and 9 (Gretchen) are at least 8. 8 times per month is equivalent to 2 times per week.

Step-by-step explanation:

Answer from Plato

Hence, the answer is Plato.

What is the measurement?

Measurement is the process of finding a number that shows the amount of something. Time the ongoing sequence of events is time. We can measure time in seconds, minutes, hours, days, weeks, months, and years.

Here given that,

The club will base its decision about whether to increase the budget for the indoor rock climbing facility on

the analysis of its usage. The decision to increase the budget will depend on whether members are using

the indoor facility at least two times a week. Use the best measure of center for both of the original data

sets to determine whether the club should increase the budget.

As per this we get that,

Yes, they can increase the budget, because both Manuel has \(8\) and Gretchen \(9\) are at least \(8\) and \(8\) times per month is equivalent to the two times per week.

Hence, the answer is Plato.

To know more about the measurement

https://brainly.com/question/18076822

#SPJ2

The value of the rate of growth in Japan is - 0.55.

From the question above, :Birth rate = 7.7 per thousand

Death rate = 9.8 per thousand

Net migration = 0.55 per thousand

The rate of growth can be calculated using the following formula:

r = (birth rate - death rate) + net migration

Where,r = rate of growth

birth rate = number of live births per thousand in a population in a given year

death rate = number of deaths per thousand in a population in a given year

net migration = the difference between the number of people moving into a country (immigrants) and the number of people leaving a country (emigrants) per thousand in a given year

Putting the values in the formula we get,r = (7.7 - 9.8) + 0.55r = - 1.1 + 0.55r = - 0.55.

Therefore, the rate of growth in Japan is - 0.55.

Your question is incomplete but most probably your full question was:

thenet migration is confusing me. i thought of using the formula:[ (births + immigration) - (deaths + emmigration)] / total

population • 100 but im not sure how to do it with net migration.

Japan's birth rate is 7.7 per thousand and its death rate is 9.8 per thousand with a net migration of 0.55 ner thousand. Calculate r for Japan

Learn more about population at

https://brainly.com/question/15531493

#SPJ11

Susan has more candy in weight compared to Isabel.

To compare the candy weights between Susan and Isabel, we need to ensure that both weights are in the same unit of measurement. Let's convert Isabel's candy weight to ounces for a fair comparison.

Given:

Susan: 4 bags x 6 ounces/bag = 24 ounces

Isabel: 1 bag x 16 ounces/pound = 16 ounces

Now that both weights are in ounces, we can see that Susan has 24 ounces of candy, while Isabel has 16 ounces of candy. As a result, Susan is heavier on the candy scale than Isabel.

for such more question on weight

https://brainly.com/question/24191825

#SPJ8

If the BLS employer cost survey uses a sample to establish the average wage of receptionists and the distribution of receptionist wages is normally distributed with a mean of $10.38/hour and a standard deviation of $2.05, then the probability that the wages for a sample of 20 receptionists exceed $11/hour is 38.16%

To find the probability, follow these steps:

So, the probability is approximately 0.3816 or 38.16%.

Learn more about z-score:

https://brainly.com/question/25638875

#SPJ11

The number of square meters of paint needed to cover the surface is 149.90m²

From the question, we are to determine the number of square meters of paint needed to cover the surfaces

The number of square meters of paint needed to cover the surfaces is equal to the surface area of the solid

Now, we will calculate the surface area of the composite solid

Surface area of the composite solid = \(\pi r^{2} + 2\pi rh_{c} + 2(lh + wh) + lw-\pi r^{2}\)

Where r is the radius of the cylindrical top

\(h_{c}\) is the height of the cylindrical top

\(l\) is the length of the box

\(h\) is the height of the box

\(w\) is the width of the box

From the given information,

r = 2 m

\(h_{c}\) = 3 m

\(l\) = 9 m

\(h\) = 2.4 m

\(w\) = 5 m

Putting the parameters into the equation, we get

Surface area of the composite solid = \((\pi \times 2^{2} )+ (2\pi \times 2 \times 3) + 2(9\times2.4 + 5\times2.4) + 9\times5-(\pi \times 2^{2} )\)

= \((12\pi ) + 2(21.6 + 12) + 45\)

= \(12\pi + 2(33.6 ) + 45\)

= \(12\pi +67.2+ 45\)

\(= 12\pi +112.2\)

\(= 37.699 +112.2\)

\(= 149.8991\) m²

∴ Surface area of the composite solid ≅ 149.90m²

Hence, the number of square meters of paint needed to cover the surface is 149.90m²

Learn more on Calculating surface area of composite solid here: https://brainly.com/question/13175744

#SPJ1

The sample is the 50 randomly selected students whose heights were recorded by Matthew.

To estimate the mean height of students attending his college, Matthew took a sample, which is a smaller group representing the entire population.

In this case, the population consists of all students attending the college. By selecting 50 students randomly, Matthew aimed to get a representative sample to ensure accurate results.

The mean height of these 50 students will be used as an estimate of the mean height for the entire student population. This sampling method is commonly used in statistics to make inferences about a larger group based on a smaller, more manageable group's characteristics.

To know more about sampling methodclick on below link:

https://brainly.com/question/12902833#

#SPJ11

9514 1404 393

Answer:

  2 to 3

Step-by-step explanation:

The ratio of side lengths is the square root of the ratio of areas:

  32 to 72 = 4 to 9 . . . . simplified ratio of areas

Then the ratio of side lengths is ...

  √4 to √9 = 2 to 3

Given that AC is a diameter of the circle, we can conclude that triangle ABC is a right triangle, with AC being the hypotenuse. The area of the circle is not directly related to finding the lengths of BC or AB, so we will focus on the given information: AB = 16 units.

Using the Pythagorean theorem, we can find BC. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (AC) is equal to the sum of the squares of the other two sides (AB and BC):

AC² = AB² + BC²

Substituting the given values, we have:

(AC)² = (AB)² + (BC)²

(AC)² = 16² + (BC)²

(AC)² = 256 + (BC)²

Now, we need to find the length of AC. Since AC is a diameter of the circle, the length of AC is equal to twice the radius of the circle.

AC = 2 * radius

To find the radius, we can use the formula for the area of a circle:

Area = π * radius²

Given that the area of the circle is 2897 units², we can solve for the radius:

2897 = π * radius²

radius² = 2897 / π

radius = √(2897 / π)

Now we have the length of AC, which is equal to twice the radius. We can substitute this value into the equation:

(2 * radius)² = 256 + (BC)²

4 * radius² = 256 + (BC)²

Substituting the value of radius, we have:

4 * (√(2897 / π))² = 256 + (BC)²

4 * (2897 / π) = 256 + (BC)²

Simplifying the equation gives:

(4 * 2897) / π = 256 + (BC)²

BC² = (4 * 2897) / π - 256

Now we can solve for BC by taking the square root of both sides:

BC = √((4 * 2897) / π - 256)

To find the measure of angle BC (mBC), we know that triangle ABC is a right triangle, so angle B will be 90 degrees.

In summary:

BC = √((4 * 2897) / π - 256)

mBC = 90 degrees

for similar questions on area of the circle.

https://brainly.com/question/14068861

#SPJ8

Changing  from rectangular to spherical coordinates is: (2, π/2,0)

Spherical Coordinates:

In mathematics, a spherical coordinate system is a coordinate system in three-dimensional space in which the position of a point is specified by three numbers: the radial distance of the point from a fixed origin, the polar angle measured at from a fixed zenith direction, and its Azimuth orthogonal projection on a reference plane passing through the origin and normal to the vertex, measured from a fixed reference direction on this plane.

According to the Question:

To change the coordinates from rectangular to spherical we have to use these formulae:

     \(A = \sqrt{x^{2} + y^{2} + z^{2} }\)

And, ∅ = arctan (y/x)

θ = \(arccos = \frac{z}{\sqrt{x^{2} +y^{2} +z^{2} } }\)

So, the given points is (0,-2,0)

     \(A = \sqrt{0^{2} + (-2)^{2} + 0^{2} }\)

Or, A = √4

Or, A = 2

And, ∅ = arctan (2/0)

           =  arctan (∞) = π/2

    θ = \(arccos = \frac{0}{\sqrt{0^{2} +(-2)^{2} +0^{2} } }\)

⇒ θ = \(arccos = \frac{0}{\sqrt{(-2)^{2} } }\)

⇒ θ = arcos (0)

Therefore,

The point becomes: (2, π/2,0)

Learn more about Coordinates:

https://brainly.com/question/16634867

#SPJ4

Answer:

x = 6       la cantidad de estantes

y = 65    cantidad de libros

Step-by-step explanation:

LLamemos "x" la cantidad de estantes que tiene Marta, y llamaremos "y" la cantidad de libros.

La primera condición que se debe cumplir es que cuando Marta coloca 12 libros en cada estante entonces le faltan 7, esto lo expresamos así:

y  +  7  = 12*x        (1)

La segunda condición establece que si Marta coloca los libros en número de 10 por estante le quedan 5 sin colocar, luego esto en lenguaje matemático se expresa así:

y  -   5   = 10*x     (2)

Ahora hemos obtenido un sistema de dos ecuaciones con dos incógnitas que se resuelve por cualquiera de los métodos conocidos, usaremos el método de sustitución.

Despejamos   y en la primera ecuación y lo sustituimos en la segunda, de esa forma obtendremos el valor de x

y  =  12*x  - 7

(12*x - 7 ) - 5  = 10*x

2*x  -12 = 0

2*x = 12

x = 6       la cantidad de estantes, y

y  =  12*x -7

y  =  72  -  7

y =  65    cantidad de libros

There is one excluded value of this rational equation, and this is a= 9.

The equation which contains at least one such fraction whose numerator and denominator are both polynomial. Solution of the rational equation are called excluded value. We solve a rational equation to determine the value of unknown variables, and this determined values are called excluded value.

given, 1/a +1/2a = 1/(a-3)

(2a+a)/2a² = 1/(a-3)

3a/2a² = 1/(a-3)

3/2a = 1/(a-3)

3a-9 = 2a

hence, a = 9

it is the excluded value.

To know more about rational equation visit:

https://brainly.com/question/19245813

#SPJ4

Answer:

28 x 28 x 28 = 21,952 cm³

Step-by-step explanation:

Answer:21,952cm

Step-by-step explanation:

From the information provided in this question, it is not possible to accurately determine the proportion of winning actresses who were between 30 and 40 years old when they won the Oscar or the shape of the distribution.

The histogram only provides the frequencies (proportions) of actresses at different age ranges (e.g. 0.39, 0.40, 0.41, 0.45), but it does not provide information about the actual ages or the number of actresses.

In order to determine the proportion of winning actresses within a specific age range, additional information such as the number of actresses in each age group or a plot of the actual ages would be necessary. Similarly, the shape of the distribution cannot be determined accurately based on the information provided, as the histogram only provides the frequencies.

Therefore, the information provided is not sufficient to answer the questions asked.

Learn more about histogram :

https://brainly.com/question/30354484

#SPJ4

Given:

Hence the equation 3(5x - 4) - 8x = 7x -12 has infinite number of solutions.

An equation is a statement of equality between two expressions consisting of variables, numbers and arithmetic operations.

Step-by-step explanation:

The equation 8x = 8(x - 1)+1 can be simplified as

8x=8x-8+1

0=-7( absurd)

This equation does not have any solution.

The equation 2x-5 = 2(x - 5) can be simplified as

2x-5=2x-10

-5=-10(absurd)

This equation does not have any solution.

The equation 22-6x = 2(3x - 11) can be simplified as

22-6x=6x-22

-6x-6x=-22-22

-12x=-44

x=44/12=11/3

This equation has only one solution.

The equation 3(5x - 4) - 8x = 7x -12 can be simplified as

15x-12-8x=7x-12

7x-12=7x-12

0=0, is an identity

This equation has infinite number of solutions.

Hence the equation 3(5x - 4) - 8x = 7x -12 has infinite number of solutions.

To learn more about equations click here:

https://brainly.com/question/25122328

#SPJ2

Coating the seed typically improves seed quality and germination rates, so the same seeding rate can be maintained even with coated seed.

To convert mass-based seeding rates to population-based establishment rates, we need to consider the area conversion factors provided:

a. Given a seeding rate of 60 lbs/acre for cereal rye, we can convert it to seeds per square foot by using the conversion factor of 1 acre = 43,560 square feet.

b. Given a seeding rate of 15 kg/ha for crimson clover, we can convert it to seeds per square meter using the conversion factor of 1 hectare = 10,000 square meters.

To convert population-based seeding rates to mass-based seeding rates, we can use the given area conversion factors:

a. Given a seeding rate of 30 plants/square foot for oats, we can convert it to pounds of seed per acre.

b. Given a seeding rate of 20 plants/square meter for hairy vetch, we can convert it to kilograms of seed per hectare.

Learn more about square here:

https://brainly.com/question/14198272

#SPJ11

Answer:

zero

Step-by-step explanation:

There is no change in slope so it's zero

hope this helps!

Answer:

there is no difference between the two because the first equation answer is -3 but there is no answer to the second equation because both of the numbers doesn't have a factor of 12

Step-by-step explanation:

The linear regression model can be extended to accommodate certain forms of non-linear relationships between the response and predictor(s).  Polynomial regression is one specific method for incorporating non-linear associations within the linear regression framework.

It involves understanding the flexibility of the linear regression model and the techniques available to address non-linear relationships. While the linear regression model assumes a linear relationship between the response variable and predictors, it can still be useful in accommodating certain types of non-linear relationships.

By applying appropriate transformations to the predictor variables, such as taking their squares, logarithms, or other non-linear functions, we can introduce non-linear associations into the linear regression model. This allows the model to capture curvature or other non-linear patterns in the data.

Polynomial regression is a specific approach to incorporating non-linear relationships within the linear regression framework. It involves adding polynomial terms of the predictor variables to the model, such as squared or cubed terms. By including these polynomial terms, the model can account for non-linear relationships and capture more complex patterns.

It's important to note that while linear regression can be extended to accommodate some non-linear relationships, there may be cases where more advanced non-linear regression techniques or alternative models are necessary to adequately capture complex non-linear associations. Nonetheless, the inclusion of transformed predictor variables and the use of polynomial regression are valuable approaches to address non-linear relationships within the linear regression framework.

know more about Polynomial :brainly.com/question/25566088

#SPJ11

Answer:

Step-by-step explanation:

The table that shows a positive correlation is the first one:

y | 5 1 2 3

H | 1 2 2 4

In this table, we can see that as the values of y increase, the values of H also increase. Therefore, there is a positive correlation between y and H.

In the second table, we can also see a positive trend in the values of y and X. However, the trend is not consistent, as there is a jump from y = 18 to y = 31, and from y = 31 to y = 37. This suggests that there may be other factors influencing the relationship between y and X.

In the third table, we can see a negative correlation between y and LO, as the values of y decrease from 24 to 6, the values of LO also decrease.

Therefore, the first table shows a clear and consistent positive correlation between y and H.

know more about positive correlation: brainly.com/question/31588111

#SPJ11

Answer:

the answer is graph B

Step-by-step explanation:

person up top is wrong.

The corresponding output value is y = -2 when x = 3 in the equation y = x - 5.

Given the equation in the question;

y = x - 5

Input value x = 3

Output value y = ?

The equation given is y = x - 5.

This equation is in the form y = f(x), which means that given an input value x, we can find the corresponding output value y.

In this case, we are given an input value of x = 3 and we need to find the corresponding output value y.

To do this, we simply substitute x = 3 into the equation and solve for y:

y = x - 5

Plug in x = 3

y = 3 - 5

y = -2

Therefore, when x = 3, the corresponding output value is y = -2.

Learn more about algebraic expressions here:

brainly.com/question/4344214

#SPJ1